Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5211/385,4832/2289
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 5211,4832
Greatest Common Factor of Numerators i.e. GCF of 5211,4832 is 1 .
LCM of Denominators means LCM of 385,2289 as per the given fractions.
LCM of 385,2289 is 125895 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5211,4832
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5211
List of positive integer factors of 5211 that divides 5211 without a remainder.
1,3,9,27,193,579,1737,5211
Factors of 4832
List of positive integer factors of 4832 that divides 4832 without a remainder.
1,2,4,8,16,32,151,302,604,1208,2416,4832
Greatest Common Factor
We found the factors 5211,4832 . The biggest common factor number is the GCF number.
So the greatest common factor 5211,4832 is 1.
Lets's calculate LCM of 385,2289
7 | 385, 2289 |
55, 327 |
∴ So the LCM of the given numbers is 7 x 55 x 327 = 125895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125895
Therefore, the GCF of Fractions 5211/385,4832/2289 is 1/125895
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 385,2289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,2289) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(385,2289) x common factors =7 x 1 = 7
LCM(385,2289) = ( 385 × 2289 ) / 7
LCM(385,2289) = 881265 / 7
LCM(385,2289) = 125895
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 5211/385, 4832/2289?
Answer: GCF of Numerators as per given numbers 5211/385, 4832/2289 is
GCF of Numerators i.e. for 5211,4832 is 1
LCM of denominators i.e. for 385,2289 is 125895.
Thus, GCF of Fractions is 1/125895.Finally, GCF of Fractions for 5211/385, 4832/2289 is 1/125895.